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Calculating the
Mean, Mode, Median & Range of a
Set of Data

For more maths help & free games related to
this, visit: www.makemymathsbetter.com
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24

To calculate the mean, you need to add up the total of a set
of data (in this case, the total number of goals scored) and
then divide by how many numbers there are (in this case
there are 5 teams, so there are 5 numbers)
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24

To calculate the mean, you need to add up the total of a set
of data (in this case, the total number of goals scored) and
then divide by how many numbers there are (in this case
there are 5 teams, so there are 5 numbers)
Total number of goals scored = 34 + 24 + 33 + 27 + 24
= 142
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24

To calculate the mean, you need to add up the total of a set
of data (in this case, the total number of goals scored) and
then divide by how many numbers there are (in this case
there are 5 teams, so there are 5 numbers)
Total number of goals scored = 34 + 24 + 33 + 27 + 24
= 142
Mean = 142 ÷ 5
= 28.4
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24
The mode is the value that appears the most often.
You will notice that MOde and MOst both start with the letters MO.
This may help you to remember what it means
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24
The mode is the value that appears the most often.
You will notice that MOde and MOst both start with the letters MO.
This may help you to remember what it means
In this case, the mode is 24 as it appears the most often
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24
The median is the middle value. To work it out, you must first put all
the numbers, in this case the number of goals scored, in order:
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24
The median is the middle value. To work it out, you must first put all
the numbers, in this case the number of goals scored, in order:
24, 24, 27, 33 34
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24
The median is the middle value. To work it out, you must first put all
the numbers, in this case the number of goals scored, in order:
24, 24, 27, 33 34
Then look for the middle value. So, in this case the median = 27
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24

If there is an even number of values, you add up the 2 middle
numbers and then half the total.
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27

If there is an even number of values, you add up the 2 middle
numbers and then half the total.
For example, to find out the median of the scores of just
Cardiff, Swansea, Derby & Coventry:
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27

If there is an even number of values, you add up the 2 middle
numbers and then half the total.
For example, to find out the median of the scores of just
Cardiff, Swansea, Derby & Coventry:
Put the scores in order: 24, 27, 33, 34
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27

If there is an even number of values, you add up the 2 middle
numbers and then half the total.
For example, to find out the median of the scores of just Cardiff,
Swansea, Derby & Coventry:
Put the scores in order: 24, 27, 33, 34
Add up the 2 middle scores: 27 + 33 = 60
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27

If there is an even number of values, you add up the 2 middle
numbers and then half the total.
For example, to find out the median of the scores of just
Cardiff, Swansea, Derby & Coventry:
Put the scores in order: 24, 27, 33, 34
Add up the 2 middle scores: 27 + 33 = 60
Then find a half of 60, which = 30
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24

To work out the range, you find out the difference between the
smallest number (24) and the biggest number (34).
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24

To work out the range, you find out the difference between the
smallest number (24) and the biggest number (34).
34 – 24 = 10
The range is 10
Here are the number of goals that 5 teams have scored so far this
season:
Team
Goals Scored
Cardiff
34
Swansea
24
Derby
33
Coventry
27
Burnley
24

To work out the range, you find out the difference between the
smallest number (24) and the biggest number (34).
34 – 24 = 10
The range is 10

For more help with your maths, try my book:
mastering multiplication tables
on amazon.com

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Mean, Median, Mode & Range

  • 1. Calculating the Mean, Mode, Median & Range of a Set of Data For more maths help & free games related to this, visit: www.makemymathsbetter.com
  • 2. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24
  • 3. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 To calculate the mean, you need to add up the total of a set of data (in this case, the total number of goals scored) and then divide by how many numbers there are (in this case there are 5 teams, so there are 5 numbers)
  • 4. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 To calculate the mean, you need to add up the total of a set of data (in this case, the total number of goals scored) and then divide by how many numbers there are (in this case there are 5 teams, so there are 5 numbers) Total number of goals scored = 34 + 24 + 33 + 27 + 24 = 142
  • 5. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 To calculate the mean, you need to add up the total of a set of data (in this case, the total number of goals scored) and then divide by how many numbers there are (in this case there are 5 teams, so there are 5 numbers) Total number of goals scored = 34 + 24 + 33 + 27 + 24 = 142 Mean = 142 ÷ 5 = 28.4
  • 6. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 The mode is the value that appears the most often. You will notice that MOde and MOst both start with the letters MO. This may help you to remember what it means
  • 7. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 The mode is the value that appears the most often. You will notice that MOde and MOst both start with the letters MO. This may help you to remember what it means In this case, the mode is 24 as it appears the most often
  • 8. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 The median is the middle value. To work it out, you must first put all the numbers, in this case the number of goals scored, in order:
  • 9. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 The median is the middle value. To work it out, you must first put all the numbers, in this case the number of goals scored, in order: 24, 24, 27, 33 34
  • 10. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 The median is the middle value. To work it out, you must first put all the numbers, in this case the number of goals scored, in order: 24, 24, 27, 33 34 Then look for the middle value. So, in this case the median = 27
  • 11. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 If there is an even number of values, you add up the 2 middle numbers and then half the total.
  • 12. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 If there is an even number of values, you add up the 2 middle numbers and then half the total. For example, to find out the median of the scores of just Cardiff, Swansea, Derby & Coventry:
  • 13. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 If there is an even number of values, you add up the 2 middle numbers and then half the total. For example, to find out the median of the scores of just Cardiff, Swansea, Derby & Coventry: Put the scores in order: 24, 27, 33, 34
  • 14. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 If there is an even number of values, you add up the 2 middle numbers and then half the total. For example, to find out the median of the scores of just Cardiff, Swansea, Derby & Coventry: Put the scores in order: 24, 27, 33, 34 Add up the 2 middle scores: 27 + 33 = 60
  • 15. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 If there is an even number of values, you add up the 2 middle numbers and then half the total. For example, to find out the median of the scores of just Cardiff, Swansea, Derby & Coventry: Put the scores in order: 24, 27, 33, 34 Add up the 2 middle scores: 27 + 33 = 60 Then find a half of 60, which = 30
  • 16. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 To work out the range, you find out the difference between the smallest number (24) and the biggest number (34).
  • 17. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 To work out the range, you find out the difference between the smallest number (24) and the biggest number (34). 34 – 24 = 10 The range is 10
  • 18. Here are the number of goals that 5 teams have scored so far this season: Team Goals Scored Cardiff 34 Swansea 24 Derby 33 Coventry 27 Burnley 24 To work out the range, you find out the difference between the smallest number (24) and the biggest number (34). 34 – 24 = 10 The range is 10 For more help with your maths, try my book: mastering multiplication tables on amazon.com